Use the Power Rule
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\log \mathrm { C } ^ { - 4 }$
A) $- 4 \log C$
B) $4 \log C$
C) $- 4 + \log C$
D) $4 + \log C$

Question

Quizplus · Accepted Answer

Using the Power Rule, we have:

$$\log C^{-4} = -4 \log C$$

Note that we cannot simplify further since there are no other logarithmic or exponential terms to combine. Therefore, the correct choice is A.

Use the Power Rule Use Properties of Logarithms to Expand log⁡C−4\log \mathrm { C } ^ { - 4 }logC−4

Use the Power Rule
Use Properties of Logarithms to Expand $\log \mathrm { C } ^ { - 4 }$